ON THE FAMILY OF NON-TOPOLOGICAL SOLUTIONS FOR THE ELLIPTIC SYSTEM ARISING FROM A PRODUCT ABELIAN GAUGE FIELD THEORY

被引：0

作者：

Chern, Jann-Long ^{[1
]}

Yang, Sze-Guang ^{[1
]}

Chen, Zhi-You ^{[2
]}

Chen, Chih-Her ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Math, Chungli 32001, Taiwan

[2] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2020年 / 40卷 / 06期

关键词：

Existence; non-topological; flux; system; solution structure; COSMIC STRINGS; EXISTENCE;

D O I：

10.3934/dcds.2020127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by constructing a family of approximation solutions and applying a specific version of the Implicit Function Theorem (please see, e.g. [18]), we prove the existence of non-topological solutions for the elliptic system arising from a product Abelian gauge field theory.

引用

页码：3291 / 3304

页数：14

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